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balandron [24]
3 years ago
10

Matthew worked a summer job and saved $900 each

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

1400

Step-by-step explanation:

hope that helps <3

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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill
abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}

To find A and k

V(0) = A = 3 million

Hence V = 3e^{kt}

V(6) = 1.5

i.e. 1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552

V(t) = 3e^{-0.11552t}

a) Using the above value of k , we have

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year.

4 0
3 years ago
The volume of the prism shown in 60 cm Given the dimensions shown below, what would be the value of x ?
hodyreva [135]

Answer:

(3× - 2)(x - 1)

3x² - 3x - 2× -2

3x² - 5× - 2

3x² + × - 6× - 2

× (3x + 1) -2 (3× + 1)

(3× + 1) (× - 2)

8 0
3 years ago
before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library befor
Serggg [28]

Answer:

  9 blocks

Step-by-step explanation:

The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.

  12 + more = 5 + 9 + 7

  more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides

  more = 9

John must walk 9 blocks more.

_____

We recognize that 5+7 = 12, so that last part of the sum totals zero.

6 0
2 years ago
Which pair of angles are vertical angles?
Leokris [45]

Answer:

C and D

Step-by-step explanation:

They are both right

4 0
2 years ago
Read 2 more answers
Can someone please help me with 44. And 45?
Angelina_Jolie [31]

Problem 44

The term "bisect" means "cut in half".

Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.

angle ABD = angle DBC

x+15 = 4x-45

15+45 = 4x-x

60 = 3x

3x = 60

x = 60/3

x = 20

<h3>Answer:  x = 20</h3>

========================================================

Problem 45

We use the same idea as the previous problem

angle ABD = angle DBC

2x+35 = 5x-22

35+22 = 5x-2x

57 = 3x

3x = 57

x = 57/3

x = 19

<h3>Answer: x = 19</h3>
6 0
2 years ago
Read 2 more answers
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